Question

the displacement x of a particle moving along a straight line is relayed to time by the relation t =x^1/2 + 3. the displacement of the particle when its velocity is zero is given by

Answer 1

HI THERE ..

HERE IS UR ANSWER ....

t = x^1/2 + 3

√ x = t - 3

sq both sides

x = ( t - 3 )^2

x = ______(1)

we know

differentiation of distance w.r.t time ,give velocity

so

d (x) / dt = 2 t - 6

v = 2 t - 6

v = 0 ,given

t = 3 second

from eq 1

x = t^2 - 6t + 9

x = 3 × 3 - 6 × 3 + 9

x = 9 - 18 + 9

x = 0

SO DISPLACEMENT WILL BE ZERO

HOPE HELPED

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